查询词典 generalized function

By solving the Sturm-Liouville eigen-equation in the barycentric coordinate, the generalized sine and cosine functions in the triangular domain are constructed. Properties of these functions are systematically investigated by visualization and theoretical derivation.

本文通过求解重心坐标下的Sturm-Liouville特征方程，构造出了三角区域的广义正弦函数和广义余弦函数，并通过可视化与理论推导相结合的方法系统的研究了这两组函数的性质。

Based on the idea of Greene and Pachpatte, we get the estimations of unknown functions by combining the Bernoulli inequality with generalized Gronwall inequalities.

我们沿着Greene和Pachpatte的思想，结合Bernoulli不等式和推广的Gronwall不等式，给出了未知函数的估计。

In this thesis,using the Bernstein polynomial approximation,Stieltjes transform method and the central limit theorem of martingale,under suitable moment conditions,we prove the CLT of LSS G_n with a generalized regular class C4 of the kernel functions for large dimensional sample covariance matrices.

在适当的矩条件下，当核函数f属于C4时，我们证明了大维随机协方差矩阵的线性谱统计量的中心极限定理。

In the fifth chapter, we propose the conditional generalized ridge-type estimator of regression coefficient in restricted linear regression model, and prove that it is superior to the restricted best linear unbiased estimator in terms of mean squares error and mean squares error matrix, we also give the choice of parameters matrix K.

第五章给出了约束线性回归模型中回归系数的条件广义岭估计，讨论了它的优良性，证明了它在均方误差及均方误差矩阵下都优于约束最小二乘估计，并给出了参数矩阵K的选择。

As to seemingly unrelated regression system,a new biased contracting estimator of the parameters is put forward,which is the combination of generalized ridge covariance-improved estimator and Stein estimator,and the good features of this estimator in mean square error is discussed.

对于一类相依回归系统，结合广义岭型协方差改进估计与Ste in估计，提出了一种新的有偏压缩估计，，并讨论了该估计在均方误差下的优良性质

Secondly, in this paper, the four typical UWB antennas of TEM horn antenna, log-periodic antenna, biconical antenna and helical antenna are theoretically analyzed and the UWB antenna design methods are generalized and discussed.

其次，本文对TEM喇叭天线、对数周期天线、双锥形天线和螺旋天线四种典型的超宽带天线进行了理论分析，总结并讨论超宽带天线的设计方法和手段。

Subsequently,Bihari\'s inequality is generalized to the equation with fractional integral kernel.With the help of the new inequality,we further weaken the condition on equations with special integral kernels,and obtain the corresponding results.

然后，将Bihari不等式推广至具有分式积分核的情形，利用新的不等式对具有特殊积分核的方程条件做了进一步减弱，建立了相应的存在唯一性和正则性结论。

It is related to the variational inequality problem, bilinear programming, nonlinear equation. So there is actual meaning and theories value to study how to solve it.In recent years, many algorithms for solving the generalized linear complementarity problem are put forward. But they basically belong to the traditional iterative methods, and may not be efficient since the computing time required for a solution is greatly dependent on the dimension, structure of the problem and the complexity of the algorithm used. Different from the traditional algorithms, the neural network has many advantages on calculations and real-time applications for its inherent massive parallelism and electric circuit implementation.

近年来，人们对广义线性互补问题提出了许多算法，但这些方法基本上属于传统的迭代法，由于它们的计算时间极大地依赖于问题的规模、维数以及所使用的算法，因此很难满足实时并行的要求，与传统数值方法不同，由于内在的并行分布处理信息的特点及电路实现的潜能，神经网络有着许多计算上的优势和实时性的应用，自Hopfield提出著名的人工神经网络模型-Hopfield神经网络，并将其成功应用于优化问题后，用神经网络求解优化问题得到了相当深入的研究，并取得了许多重要的成果。

When fitness satisfies the bimodal distribution, the connectivity distribution of the network satisfies a generalized power-law form.

当Fitness服从一个双模分布时，网络的度分布是一个广义的幂律形式；当Fitness服从均匀分布时，网络的度分布是一个带有对数修正的广义的幂律形式。

Meanwhile, I have generalized the concept of trinomial property of sequence from binary case to arbitrary finite field case, and have proved that all the results in binary case are still hold in arbitrary finite field case.

同时，本文将三项式对的概念从二元序列推广到任意有限域上的序列，并证明了对二元序列成立的所有结果对一般有限域上的序列仍然成立。

A backer of an Afghan law that critics say legalizes marital rape has rejected the international outcry as foreign meddling.

饱受批评的一项法律的拥护者说合法化的婚内暴力不会受国际舆论的干涉。

Years ago, a ancient Egyptian fleet went to the Land of punt for seeking a kind of flavor named "myrrh", and aromatic plants which has dense exotic style for the queen Hatshepsut.

3500年前的一个古埃及的舰队到&彭特之地&寻找一种叫没药的香料。